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A348331
Lexicographically earliest sequence of positive integers such that for any n > 0, the sum of the indices k < n such that a(k) = a(n) is less than or equal to n.
2
1, 1, 1, 2, 2, 1, 3, 3, 2, 4, 4, 1, 5, 5, 3, 6, 6, 2, 7, 7, 4, 8, 8, 1, 9, 9, 5, 10, 10, 3, 11, 11, 6, 12, 12, 2, 13, 13, 7, 14, 14, 4, 15, 15, 8, 16, 16, 1, 17, 17, 9, 18, 18, 5, 19, 19, 10, 20, 20, 3, 21, 21, 11, 22, 22, 6, 23, 23, 12, 24, 24, 2, 25, 25, 13
OFFSET
1,4
COMMENTS
Every integer appears infinitely many times.
See table A348357 where the integers are arranged according to the present sequence.
FORMULA
a(n) = 1 iff n belongs to A098011.
PROG
(PARI) s=vector(25); for (n=1, 75, for (k=1, oo, if (s[k]<=n, print1 (k", "); s[k]+=n; break)))
CROSSREFS
KEYWORD
nonn
AUTHOR
Rémy Sigrist, Oct 13 2021
STATUS
approved